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New Ninth Order J-Halley Method for Solving Nonlinear Equations

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DOI: 10.4236/am.2013.412233    3,993 Downloads   5,786 Views  

ABSTRACT

In the paper [1], authors have suggested and analyzed a predictor-corrector Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which had a quantic convergence. We have compared this modified Halley method with some other iterative methods of ninth order, which shows that this new proposed method is a robust one. Some examples are given to illustrate the efficiency and the performance of this new method.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Ahmad, F. , Hussain, S. , Hussain, S. and Rafiq, A. (2013) New Ninth Order J-Halley Method for Solving Nonlinear Equations. Applied Mathematics, 4, 1709-1713. doi: 10.4236/am.2013.412233.

References

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